Sentence examples for function can be generalized from inspiring English sources

The asymptotic expansion of (Gamma (x+1)) via the tri-gamma function can be generalized to the general cases by the arguments in [2] as follows.

Only for medium- and long-distance travel, the flight patterns conform to a gravitation law; therefore, the distance dependence function can be generalized as a scaling relationship.

The temperature transform function can be generalized as Theta (k)=frac{2^k {m}^{2k}}{k!left k+1right)!} Theta (0),kern0.5em k=1,2dots (35).

The temperature transform function can be generalized as Theta (k)=kern0.5em Theta (0){m}^{2k}/{left k!right)}^2,kern1em k=1,2,3,dots.

The hypergeometric functions can be generalized along the lines of basic (or q-) number, resulting in the formation of q-extensions (or q-analogues).

Ciliary functions can be generalized as motile propeller and/or sensory antenna, but they are in fact highly variable.

Our 2D-trait mapping can be generalized in two directions.

The definition of the f-divergence functional (6) can be generalized for a function (fcolon Irightarrowmathbb{R}), (Isubseteqmathbb{R}), where (frac{p_{i}}{q_{i}}in I), for every (i=1,ldots,n).

In this section we review moment generating functions and show how they can be generalized to functional distributions.

Hence, the finding of Stark et al. (1997) that there is a negative relationship between ppp and the optimal migration duration when the utility function has a logarithmic form can be generalized to all CRRA-type utility functions with a curvature parameter that is empirically relevant.

The function of stack transaction management can be generalized for deployment management with multiple resources.